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Finding the Third Proportional to 34,402.13 and 69,772.13

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Solution

The third proportional to 34,402.13 and 69,772.13 is: 141,507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.13 : 69,772.13 = 69,772.13 : x
  2. Step 2: Convert to fraction form
    34,402.13/69,772.13 = 69,772.13/x
  3. Step 3: Cross multiply
    34,402.13x = 69,772.13 × 69,772.13
  4. Step 4: Simplify right side
    34,402.13x = 4,868,149,427.02
  5. Step 5: Solve for x
    x = 4,868,149,427.02/34,402.13
  6. Step 6: Final answer
    x = 141,507.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.